Large data low regularity scattering results for the 3D wave equation on the Euclidian space

Mathematics – Analysis of PDEs

Scientific paper

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47 pages

Scientific paper

We will consider the resolution of the 3D non linear wave equation under the
assumption of spherical symmetry on the euclidian space. For this purpose, we
will build a non trivial measure on distributions such that there exists a set
of full measurement onto which the flow is globally defined. We will then
discuss different properties of the solutions.

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